Quantum CAT Also Useful for XAT>Chapter 1 - SNAP>CMAT>Q 114

EASY

CAT

IMPORTANT

Earn 100

The remainder when $(2^{54} - 1)$ is divided by $9$ is:

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Important Questions on Number System

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CAT

IMPORTANT

Quantum CAT Also Useful for XAT>Chapter 1 - SNAP>CMAT>Q 115

A number

1 < N < 100

is such that it is a perfect square and perfect cube both, then the sum of digits of

N

is:

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CAT

IMPORTANT

Quantum CAT Also Useful for XAT>Chapter 1 - SNAP>CMAT>Q 116

The product of the digits of a three digit number which is a perfect square as well as a perfect cube is:

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CAT

IMPORTANT

Quantum CAT Also Useful for XAT>Chapter 1 - SNAP>CMAT>Q 117

A natural number

N

is such that

N = a^{2} = b^{4} = c^{8}

, where a, b, c are distinct positive integers, then the least possible value of

N

is:

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CAT

IMPORTANT

Quantum CAT Also Useful for XAT>Chapter 1 - SNAP>CMAT>Q 118

The possible value of

| x | + | x - 1 | = 2

is:

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CAT

IMPORTANT

Quantum CAT Also Useful for XAT>Chapter 1 - SNAP>CMAT>Q 119

If

(pqr)^{2} = (ijkpqr)

, where

i, j, k, p, q, r \in W

, and

p q r

and

ijkpqr

are three digits and

6

digits numbers respectively. Then the value of

i \times j \times k \times p \times q \times r

is:

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CAT

IMPORTANT

Quantum CAT Also Useful for XAT>Chapter 1 - SNAP>CMAT>Q 121

The number of zeros at the end of

100!

is:

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CAT

IMPORTANT

Quantum CAT Also Useful for XAT>Chapter 1 - SNAP>CMAT>Q 122

The greatest power of

3

, when

41!

is expressed in prime factors:

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CAT

IMPORTANT

Quantum CAT Also Useful for XAT>Chapter 1 - SNAP>CMAT>Q 123

A two digit number is such that it is the product of the two distinct perfect squares. The tens digit, unit digit and the sum of these two digits are in A.P. Further if we reverse the digits mutually, the new number increases by

27

. The original number is: